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Finding the Fourth Proportional to 7,221.32, 9,965.50 and 4,237.21

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Solution

The fourth proportional to 7,221.32, 9,965.50 and 4,237.21 is: 5,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.32 : 9,965.50 = 4,237.21 : x
  2. Step 2: Convert to fraction form
    7,221.32/9,965.50 = 4,237.21/x
  3. Step 3: Cross multiply
    7,221.32x = 9,965.50 × 4,237.21
  4. Step 4: Simplify right side
    7,221.32x = 42,225,918.12
  5. Step 5: Solve for x
    x = 42,225,918.12/7,221.32
  6. Step 6: Final answer
    x = 5,847.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.